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Finding the Third Proportional to 570,210 and 1,234,527

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Solution

The third proportional to 570,210 and 1,234,527 is: 2,672,799.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,210 : 1,234,527 = 1,234,527 : x
  2. Step 2: Convert to fraction form
    570,210/1,234,527 = 1,234,527/x
  3. Step 3: Cross multiply
    570,210x = 1,234,527 × 1,234,527
  4. Step 4: Simplify right side
    570,210x = 1,524,056,913,729
  5. Step 5: Solve for x
    x = 1,524,056,913,729/570,210
  6. Step 6: Final answer
    x = 2,672,799.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.